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Volumn 69, Issue , 1996, Pages 25-54

Measure rigidity for almost linear groups and its applications

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EID: 0041115511     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02787100     Document Type: Article
Times cited : (31)

References (29)
  • 1
    • 0013518671 scopus 로고
    • Sous-groupes épimorphiques de groupes algébriques linéaires I
    • [B-Bo1]
    • F. Bien and A. Borel, Sous-groupes épimorphiques de groupes algébriques linéaires I, C. R. Acad. Sci., Paris 315 (1992), 649-655.
    • (1992) C. R. Acad. Sci., Paris , vol.315 , pp. 649-655
    • Bien, F.1    Borel, A.2
  • 2
    • 0013559813 scopus 로고
    • Sous-groupes épimorphiques de groupes algébriques linéaires II
    • [B-Bo2]
    • [B-Bo2] F. Bien and A. Borel, Sous-groupes épimorphiques de groupes algébriques linéaires II, C. R. Acad. Sci., Paris, 315 (1992), 1341-1347.
    • (1992) C. R. Acad. Sci., Paris , vol.315 , pp. 1341-1347
    • Bien, F.1    Borel, A.2
  • 3
    • 0003612650 scopus 로고
    • [Bo1], Springer, Berlin, Heidelberg, New York, Second enlarged edition
    • [Bo1] A. Borel, Linear Algebraic Groups, Springer, Berlin, Heidelberg, New York, Second enlarged edition, 1991.
    • (1991) Linear Algebraic Groups
    • Borel, A.1
  • 4
    • 84967792522 scopus 로고
    • Values of indefinite quadratic forms at integral points and flows on spaces of lattices
    • [Bo2]
    • [Bo2] A. Borel, Values of indefinite quadratic forms at integral points and flows on spaces of lattices, Bull. Amer. Math. Soc. 32 (1995), 184-204.
    • (1995) Bull. Amer. Math. Soc. , vol.32 , pp. 184-204
    • Borel, A.1
  • 5
    • 0040359767 scopus 로고
    • Values of isotropic quadratic forms at S4-integral points
    • [Bo-Pr]
    • [Bo-Pr] A. Borel and G. Prasad, Values of isotropic quadratic forms at S4-integral points, Compos. Math. 83 (1992), 347-372.
    • (1992) Compos. Math. , vol.83 , pp. 347-372
    • Borel, A.1    Prasad, G.2
  • 6
    • 84972554333 scopus 로고
    • Rationality properties of linear algebraic groups
    • [Bo-Spr]
    • [Bo-Spr] A. Borel and T. A. Springer, Rationality properties of linear algebraic groups, Tôhoku Math. J. 20 (1968), 443-497.
    • (1968) Tôhoku Math. J. , vol.20 , pp. 443-497
    • Borel, A.1    Springer, T.A.2
  • 9
    • 0001926537 scopus 로고
    • Limit distributions of orbits of unipotent flows and values of quadratic forms
    • [D-M]
    • [D-M] S. G. Dani and G. A. Margulis, Limit distributions of orbits of unipotent flows and values of quadratic forms, Advances in Soviet Mathematics 16, Part I (1993), 91-137.
    • (1993) Advances in Soviet Mathematics , vol.16 , Issue.PART I , pp. 91-137
    • Dani, S.G.1    Margulis, G.A.2
  • 11
    • 0040359769 scopus 로고
    • Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications in number theory
    • [M1], Tokyo (I. Sutake, ed.), The Mathematical Society of Japan and Springer, Berlin, Heidelberg, New York
    • [M1] G. A. Margulis, Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications in number theory, in Proceedings of the International Congress of Mathematicians, Kyoto, Tokyo 1990 (I. Sutake, ed.), The Mathematical Society of Japan and Springer, Berlin, Heidelberg, New York, 1991, pp. 193-215.
    • (1990) Proceedings of the International Congress of Mathematicians, Kyoto , pp. 193-215
    • Margulis, G.A.1
  • 13
    • 0040953890 scopus 로고
    • Measure rigidity for algebraic groups over local fields
    • [M-T1]
    • [M-T1] G. A. Margulis and G. M. Tomanov, Measure rigidity for algebraic groups over local fields, C. R. Acad. Sci., Paris 315 (1992), 1221-1226.
    • (1992) C. R. Acad. Sci., Paris , vol.315 , pp. 1221-1226
    • Margulis, G.A.1    Tomanov, G.M.2
  • 14
    • 0040953897 scopus 로고
    • Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
    • [M-T2]
    • [M-T2] G. A. Margulis and G. M. Tomanov, Invariant measures for actions of unipotent groups over local fields on homogeneous spaces, Invent. Math. 116 (1994), 347-392.
    • (1994) Invent. Math. , vol.116 , pp. 347-392
    • Margulis, G.A.1    Tomanov, G.M.2
  • 15
    • 84972507028 scopus 로고
    • The Mautner phenomenon for general unitary representations
    • [Mo]
    • [Mo] C. C. Moore, The Mautner phenomenon for general unitary representations, Pacific J. Math. 86 (1980), 155-169.
    • (1980) Pacific J. Math. , vol.86 , pp. 155-169
    • Moore, C.C.1
  • 17
    • 0010014555 scopus 로고
    • The problem of strong approximation and the Kneser-Tits conjecture
    • [P]
    • [P] V. P. Platonov, The problem of strong approximation and the Kneser-Tits conjecture, J. Math. USSR Izv. 3 (1969), 1139-1147; Addendum, J. Math. USSR Izv. 4 (1970), 784-786.
    • (1969) J. Math. USSR Izv. , vol.3 , pp. 1139-1147
    • Platonov, V.P.1
  • 18
    • 0040953898 scopus 로고
    • Addendum
    • [P] V. P. Platonov, The problem of strong approximation and the Kneser-Tits conjecture, J. Math. USSR Izv. 3 (1969), 1139-1147; Addendum, J. Math. USSR Izv. 4 (1970), 784-786.
    • (1970) J. Math. USSR Izv. , vol.4 , pp. 784-786
  • 19
    • 0003236669 scopus 로고
    • Topological central extensions of semi-simple groups over local fields
    • [Pr-R]
    • [Pr-R] G. Prasad and M. S. Raghunathan, Topological central extensions of semi-simple groups over local fields, Ann. of Math. 119 (1984), 143-201.
    • (1984) Ann. of Math. , vol.119 , pp. 143-201
    • Prasad, G.1    Raghunathan, M.S.2
  • 21
    • 0037595703 scopus 로고
    • Strict measure rigidity for unipotent subgroups of solvable groups
    • [Rat1]
    • [Rat1] M. Ratner, Strict measure rigidity for unipotent subgroups of solvable groups, Invent. Math. 101 (1990), 449-482.
    • (1990) Invent. Math. , vol.101 , pp. 449-482
    • Ratner, M.1
  • 22
    • 0037595704 scopus 로고
    • On measure rigidity of unipotent subgroups of semisimple groups
    • [Rat2]
    • [Rat2] M. Ratner, On measure rigidity of unipotent subgroups of semisimple groups, Acta Math. 165 (1990), 229-309.
    • (1990) Acta Math. , vol.165 , pp. 229-309
    • Ratner, M.1
  • 23
    • 0000420681 scopus 로고
    • On Raghunathan's measure conjecture
    • [Rat3]
    • [Rat3] M. Ratner, On Raghunathan's measure conjecture, Ann. of Math. 134 (1992), 545-607.
    • (1992) Ann. of Math. , vol.134 , pp. 545-607
    • Ratner, M.1
  • 24
    • 84974005577 scopus 로고
    • Raghunathan's topological conjecture and distributions of unipotent flows
    • [Rat4]
    • [Rat4] M. Ratner, Raghunathan's topological conjecture and distributions of unipotent flows, Duke Math. J. 63 (1991), 235-280.
    • (1991) Duke Math. J. , vol.63 , pp. 235-280
    • Ratner, M.1
  • 25
    • 84963056788 scopus 로고
    • Raghunathan's conjectures for p-adic Lie groups
    • [Rat5] (in Duke Math. J. 70:2)
    • [Rat5] M. Ratner, Raghunathan's conjectures for p-adic Lie groups (in Duke Math. J. 70:2), Int. Math. Research Notices 5 (1993), 141-146.
    • (1993) Int. Math. Research Notices , vol.5 , pp. 141-146
    • Ratner, M.1
  • 26
    • 0013529647 scopus 로고
    • Invariant measures and orbit closures for unipotent actions on homogeneous spaces
    • [Rat6]
    • [Rat6] M. Ratner, Invariant measures and orbit closures for unipotent actions on homogeneous spaces. Geometric and Functional Analysis 4 (1994), 236-256.
    • (1994) Geometric and Functional Analysis , vol.4 , pp. 236-256
    • Ratner, M.1
  • 27
    • 84974003874 scopus 로고
    • Raghunathan's conjectures for cartesian products of real and p-adic Lie groups
    • [Rat7]
    • [Rat7] M. Ratner, Raghunathan's conjectures for cartesian products of real and p-adic Lie groups, Duke Math. J. 77 (1995), 275-382.
    • (1995) Duke Math. J. , vol.77 , pp. 275-382
    • Ratner, M.1
  • 29
    • 0001312712 scopus 로고
    • Measurable quotients of unipotent translations on homogeneous spaces
    • [W]
    • [W] D. Witte, Measurable quotients of unipotent translations on homogeneous spaces, Trans. Amer. Math. Soc. 345 (1994), 577-594.
    • (1994) Trans. Amer. Math. Soc. , vol.345 , pp. 577-594
    • Witte, D.1


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